Geodesic
On the local and boundary behaviour of inverse maps on Riemannian manifolds
Sbornik. Mathematics, Tome 213 (2022) no. 1, pp. 42-62 Cet article a éte moissonné depuis la source Math-Net.Ru

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Results on the local behaviour of maps between Riemannian manifolds such that their inverses satisfy upper bounds on the distortion of the moduli of families of curves are obtained. For families of such maps theorems on their equicontinuity at interior points and boundary points of the domain are established. Bibliography: 30 titles.
Keywords: Riemannian manifold, modulus of a family of curves, map with bounded distortion, map with finite distortion, local behaviour of maps.
Mots-clés : inverse map 
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D. P. Ilyutko; E. A. Sevost'yanov. On the local and boundary behaviour of inverse maps on Riemannian manifolds. Sbornik. Mathematics, Tome 213 (2022) no. 1, pp. 42-62. http://geodesic.mathdoc.fr/item/SM_2022_213_1_a1/

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